Find an equation for the line tangent to the curve at the point defined by the given value of t.x = 9t2 - 6, y = t3, t = 1
A. y = 6x - 
B. y = 
x + 1
C. y = 
x + 
D. y = 
x - 
Answer: C
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Figure (a) shows a vacant lot with a 80-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 80], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 80]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 80] into four equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the
values of f(x) at x = 10, 30, 50, and 70. What is the approximate area of the lot?
?
?
?
A. 7,860 sq ft
B. 7,980 sq ft
C. 7,910 sq ft
D. 7,890 sq ft
Solve.A boat goes 360 miles downstream in the same time it can go 300 miles upstream. The speed of the current is 4 miles per hour. Find the speed of the boat in still water.
A. 44 mph B. 66 mph C. 40 mph D. 48 mph
The two triangles below are similar. Find the missing length(s).
A. x = 12 B. x = 4 C. x = 11 D. x = 16
Use the associative law of multiplication to write an equivalent expression.8[x(y + z)]
A. 8[x(z + y)] B. (8x)(y + z) C. 8[(y + z)x] D. 8xyz